Upper bound on the capacity of the nonlinear Schrödinger channel

Mansoor I. Yousefi; Gerhard Kramer; Frank R. Kschischang

doi:10.1109/CWIT.2015.7255144

Upper bound on the capacity of the nonlinear Schrödinger channel

Mansoor I. Yousefi, Gerhard Kramer, Frank R. Kschischang

Chair of Communications Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

26 Scopus citations

Abstract

It is shown that the capacity of the channel modeled by (a discretized version of) the stochastic nonlinear Schrödinger (NLS) equation is upper-bounded by log(l + SNR) with SNR = P₀/σ²(z), where P₀ is the average input signal power and σ²(z) is the total noise power up to distance z. The result is a consequence of the fact that the deterministic NLS equation is a Hamiltonian energy-preserving dynamical system.

Original language	English
Title of host publication	2015 IEEE 14th Canadian Workshop on Information Theory, CWIT 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	22-26
Number of pages	5
ISBN (Electronic)	9781479965601
DOIs	https://doi.org/10.1109/CWIT.2015.7255144
State	Published - 10 Sep 2015
Event	14th IEEE Canadian Workshop on Information Theory, CWIT 2015 - St. John's, Canada Duration: 6 Jul 2015 → 9 Jul 2015

Publication series

Name	2015 IEEE 14th Canadian Workshop on Information Theory, CWIT 2015

Conference

Conference	14th IEEE Canadian Workshop on Information Theory, CWIT 2015
Country/Territory	Canada
City	St. John's
Period	6/07/15 → 9/07/15

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10.1109/CWIT.2015.7255144

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Yousefi, M. I., Kramer, G., & Kschischang, F. R. (2015). Upper bound on the capacity of the nonlinear Schrödinger channel. In 2015 IEEE 14th Canadian Workshop on Information Theory, CWIT 2015 (pp. 22-26). Article 7255144 (2015 IEEE 14th Canadian Workshop on Information Theory, CWIT 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CWIT.2015.7255144

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title = "Upper bound on the capacity of the nonlinear Schr{\"o}dinger channel",

abstract = "It is shown that the capacity of the channel modeled by (a discretized version of) the stochastic nonlinear Schr{\"o}dinger (NLS) equation is upper-bounded by log(l + SNR) with SNR = P0/σ2(z), where P0 is the average input signal power and σ2(z) is the total noise power up to distance z. The result is a consequence of the fact that the deterministic NLS equation is a Hamiltonian energy-preserving dynamical system.",

author = "Yousefi, {Mansoor I.} and Gerhard Kramer and Kschischang, {Frank R.}",

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year = "2015",

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doi = "10.1109/CWIT.2015.7255144",

language = "English",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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Yousefi, MI, Kramer, G & Kschischang, FR 2015, Upper bound on the capacity of the nonlinear Schrödinger channel. in 2015 IEEE 14th Canadian Workshop on Information Theory, CWIT 2015., 7255144, 2015 IEEE 14th Canadian Workshop on Information Theory, CWIT 2015, Institute of Electrical and Electronics Engineers Inc., pp. 22-26, 14th IEEE Canadian Workshop on Information Theory, CWIT 2015, St. John's, Canada, 6/07/15. https://doi.org/10.1109/CWIT.2015.7255144

Upper bound on the capacity of the nonlinear Schrödinger channel. / Yousefi, Mansoor I.; Kramer, Gerhard; Kschischang, Frank R.
2015 IEEE 14th Canadian Workshop on Information Theory, CWIT 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 22-26 7255144 (2015 IEEE 14th Canadian Workshop on Information Theory, CWIT 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Yousefi, Mansoor I.

AU - Kramer, Gerhard

AU - Kschischang, Frank R.

PY - 2015/9/10

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N2 - It is shown that the capacity of the channel modeled by (a discretized version of) the stochastic nonlinear Schrödinger (NLS) equation is upper-bounded by log(l + SNR) with SNR = P0/σ2(z), where P0 is the average input signal power and σ2(z) is the total noise power up to distance z. The result is a consequence of the fact that the deterministic NLS equation is a Hamiltonian energy-preserving dynamical system.

AB - It is shown that the capacity of the channel modeled by (a discretized version of) the stochastic nonlinear Schrödinger (NLS) equation is upper-bounded by log(l + SNR) with SNR = P0/σ2(z), where P0 is the average input signal power and σ2(z) is the total noise power up to distance z. The result is a consequence of the fact that the deterministic NLS equation is a Hamiltonian energy-preserving dynamical system.

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T3 - 2015 IEEE 14th Canadian Workshop on Information Theory, CWIT 2015

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BT - 2015 IEEE 14th Canadian Workshop on Information Theory, CWIT 2015

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T2 - 14th IEEE Canadian Workshop on Information Theory, CWIT 2015

Y2 - 6 July 2015 through 9 July 2015

ER -

Upper bound on the capacity of the nonlinear Schrödinger channel

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